Tridecagon

A tridecagon is a polygon with 13 sides. It has an internal angle degree of ~152.308 degrees and a total of 6840 degrees. The area is $A={\frac{13}{4}} a^{2} \cot {\frac{\pi}{13}}$ which is about $13.1858 a^2$ . This cannot be constructed by using a compass and straightedge, but can be constructed using an angle trisector or neusis. The side length of a tridecagon is $r \cdot 2 \cdot \sin{\frac{\pi}{13}}$ or $2r \cdot 0.23931566428755777$

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Tridecagon

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